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A Note on the Slater-Condition

Title data

Lempio, Frank:
A Note on the Slater-Condition.
In: Collatz, L. ; Wetterling, W. (ed.): Numerische Methoden bei Optimierungsaufgaben : Vortragsauszüge der Tagung über Numerische Methoden bei Optimierungsaufgaben vom 18. bis 24. November 1973 im Mathematischen Forschungsinstitut Oberwolfach (Schwarzwald). Bd. 2. - Basel : Birkhäuser , 1974 . - p. 165 . - (ISNM International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D'Analyse Numérique ; 23 )
ISBN 978-3-0348-5321-7
DOI: https://doi.org/10.1007/978-3-0348-5321-7_14

Review:

Abstract in another language

First we demonstrate the importance of different constraint qualifications for semiinfinite programming problems, penalty methods, and discretization methods for optimization problems in function spaces. Next we point out that all these constraint qualifications are special cases of a general Slater-condition for infinite linear or differentiable optimization problems. Then we prove the validity of this condition for an optimal control problem governed by an equation of evolution, whose control variables occur within initial and boundary conditions.

Further data

Item Type: Article in a book
Refereed: Yes
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Result of work at the UBT: No
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 10 Feb 2021 08:39
Last Modified: 23 Mar 2021 09:13
URI: https://eref.uni-bayreuth.de/id/eprint/62885